Finding the Third Proportional to 53,298 and 123,399

Step by Step Solution

1. Step 1: Write the proportion equation
   53,298 : 123,399 = 123,399 : x
2. Step 2: Convert to fraction form
   53,298/123,399 = 123,399/x
3. Step 3: Cross multiply
   53,298x = 123,399 × 123,399
4. Step 4: Simplify right side
   53,298x = 15,227,313,201
5. Step 5: Solve for x
   x = 15,227,313,201/53,298
6. Step 6: Final answer
   x = 285,701.40